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If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25
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17 Sep 2021, 09:44
17 Sep 2021, 09:44
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Question Stats:
80% (01:37) correct
19% (02:02) wrong based on 21 sessions
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If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25, what is the difference between the greatest possible value of n and the least possible value of n?
A. 1
B. 3
C. 21
D. 26
E. 29
A. 1
B. 3
C. 21
D. 26
E. 29
Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25
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17 Sep 2021, 09:52
17 Sep 2021, 09:52
1
Solution:
n can carry two values one is the lowest from the given range and the other is greater than the number in the given range
i.e. 17, 8, 14, 28, 9, 4, 11- The lowest number here is 4.
Thus, Greatest number-lowest number=25
x-4=25
x=29
Similarly we can now substitute greatest number as 28 and get lowest number to be 3
Therefore the lowest value n can carry is 3 and greatest it can carry is 29
29-3=26
IMO D
Hope this helps!
n can carry two values one is the lowest from the given range and the other is greater than the number in the given range
i.e. 17, 8, 14, 28, 9, 4, 11- The lowest number here is 4.
Thus, Greatest number-lowest number=25
x-4=25
x=29
Similarly we can now substitute greatest number as 28 and get lowest number to be 3
Therefore the lowest value n can carry is 3 and greatest it can carry is 29
29-3=26
IMO D
Hope this helps!
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Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25
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17 Sep 2021, 09:56
17 Sep 2021, 09:56
2
Carcass wrote:
If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25, what is the difference between the greatest possible value of n and the least possible value of n?
A. 1
B. 3
C. 21
D. 26
E. 29
A. 1
B. 3
C. 21
D. 26
E. 29
Arrange the known values in ASCENDING order to get: 4, 8, 9, 11, 14 17, 28
28 - 4 = 24
So the range of the known values is 24
We're told that the range is 25, which means n is EITHER 3 or 29
So, 3 is the at least possible value of n, and 29 is the greatest possible value of n
What is the difference between the greatest possible value of n and the least possible value of n?
Answer: 29 - 3 = 26
Answer: D
Cheers,
Brent
